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How much time would it take your pullback car to travel a distance of 100 meters if it had an average acceleration of 1.16 m/s^2?

User Nandesh
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1 Answer

5 votes

Answer: It would take 13.1 seconds to travel a distance of 100 meters if it had an average acceleration of 1.16 m/s²

Step-by-step explanation:

Given,

Distance = 100 m

Acceleration = 1.16 m/s²

The above answer could be calculated by rearranging the equation relating Velocity, Acceleration, Distance, and Time:

D = v×t + (1/2 × a × t²).

  • Where D is the distance
  • v is the initial velocity,
  • t is time,
  • a is the acceleration.

Since the initial velocity is '0' the above equation becomes:

D = 0×t + (1/2 × a × t²)

D = 1/2 × a × t²

By rearranging the above equation, we get the following:

t² = 2 × D ÷ a

By substituting the values of 'D' and 'a' we get:

t² = 2 × 100 ÷ 1.16

t² = 172.41 s

t = √172.41 s

t = 13.1 s.

User Zack Braksa
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